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A simple universal generating function method for estimating the reliability of general multi-state node networks

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  • Wei-Chang Yeh

Abstract

Many real-world systems (such as cellular telephones, transportation, etc.) are Multi-state Node Networks (MNNs) that are composed of multi-state nodes with different states determined by a set of nodes receiving the signal directly from these nodes without satisfying the conservation law. Current methods for evaluating MNN reliability are all derived from Universal Generating Function Methods (UGFMs). Unfortunately, UGFMs are only effective for special MNNs without any cycle, i.e. acyclic MNNs. A very simple revised UGFM is developed for the general MNN reliability problem. The proposed UGFM allows cycles with the same time complexity as the best-known UGFM. The correctness and computational complexity of the proposed UGFM are analyzed and proven. One example is given to illustrate how MNN reliability is evaluated using the proposed UGFM.

Suggested Citation

  • Wei-Chang Yeh, 2009. "A simple universal generating function method for estimating the reliability of general multi-state node networks," IISE Transactions, Taylor & Francis Journals, vol. 41(1), pages 3-11.
    • Handle: RePEc:taf:uiiexx:v:41:y:2009:i:1:p:3-11
    DOI: 10.1080/07408170802322622
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    Cited by:

    1. C-Y Li & X Chen & X-S Yi, 2009. "Reliability analysis of primary battery packs based on the universal generating function method," Journal of Risk and Reliability, , vol. 223(3), pages 251-257, September.
    2. Faghih-Roohi, Shahrzad & Xie, Min & Ng, Kien Ming & Yam, Richard C.M., 2014. "Dynamic availability assessment and optimal component design of multi-state weighted k-out-of-n systems," Reliability Engineering and System Safety, Elsevier, vol. 123(C), pages 57-62.
    3. Yeh, Wei-Chang, 2017. "Evaluation of the one-to-all-target-subsets reliability of a novel deterioration-effect acyclic multi-state information network," Reliability Engineering and System Safety, Elsevier, vol. 166(C), pages 132-137.

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